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Subharmonic functions of finite order in a cone. III. Functions of completely regular growth

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References

  1. L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables, American Math. Soc., Providence (1974).

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  2. E. D. Fainberg, Estimates of the indicators of special classes of functions analytic in the half-plane. Manuscript deposited at VINITI, August 7, 1981, No. 4167-81 Dep.

  3. V. I. Babii, On holomorphic functions of completely regular growth in the half-plane. Manuscript deposited at UkrNIITI, July 12, 1986, No. 1697-Uk86.

  4. V. S. Azarin, The Theory of the Growth of Subharmonic Functions, Part 1 [in Russian], Khar'kov (1978).

  5. A. Yu. Rashkovskii, Growth and decrease of subharmonic functions in a cone. Manuscript deposited at VINITI, November 24, 1986, No. 7977-V86.

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This is the third part of the paper; the first two parts have been published in previous issues of this collection (“Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya”). The numbering of the statements, formulas, and references is the continuation of the corresponding numbering in the previous parts. For the convenience of the reader we mention that Lemmas 1–5, formulas (1)-(26), and references [1–9] are contained in the first part, while Theorems 1–2, Lemmas 5–8, formulas (27)-(48), and references [10–11] are in the second part of the paper.

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 57, pp. 17–33, 1992.

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Rashkovskii, A.Y., Ronkin, L.I. Subharmonic functions of finite order in a cone. III. Functions of completely regular growth. J Math Sci 77, 2929–2940 (1995). https://doi.org/10.1007/BF02362677

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  • DOI: https://doi.org/10.1007/BF02362677

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